A Particle Moves Along a Straight Line with Equation of Motion

question 37

Multiple Choice

A particle moves along a straight line with equation of motion $s = t ^ { 3 } - t ^ { 2 }$ . Find the value of t at which the acceleration is equal to zero.

• A) \(- \frac { 2 } { 3 }\)
• B) \(- \frac { 1 } { 3 }\)
• C) \(\frac { 2 } { 3 }\)
• D) \(\frac { 1 } { 3 }\)
• E) \(- \frac { 1 } { 2 }\)
• F) \(\frac { 1 } { 2 }\)
• G) \(- \frac { 3 } { 2 }\)
• H)
• \(\frac { 3 } { 2 }\)

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Definitions:

Contribution Margin

The amount by which a product's selling price exceeds its total variable costs, indicating the contribution towards covering fixed costs.

Operating Income

Earnings from a company's primary business activities, excluding costs and expenses, interest, and taxes.

Absorption Costing

An approach to accounting that integrates all costs associated with manufacturing - including direct materials, direct labor, and overhead costs, no matter if they are variable or fixed, into the final cost of a product.

Variable Costing

A bookkeeping technique that incorporates only variable production expenses, such as direct materials, direct labor, and variable manufacturing costs, into the cost of products, while omitting fixed overhead.